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Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
हिन्दीConsider the following statements regarding the moment of inertia and radius of gyration of rigid bodies: (A) The radius of gyration \( k \) has the dimension of length. (B) The radius of gyration of a circular disc about its diameter is \( \frac{R}{2} \). (C) Moment of inertia is independent of the position and orientation of the axis of rotation. (D) Unlike the mass of a body, its moment of inertia is not a fixed quantity. Choose the correct answer from the options given below:
Correct answer · Option 3
(A), (B) and (D) only
Explanation
(A) is correct (\( [k] = [L] \)). (B) is correct (\( k = \sqrt{I/M} = \sqrt{R^2/4} = R/2 \)). (C) is incorrect because \( I \) strongly depends on axis position and orientation. (D) is correct.
